To calculate the volume of the box, you use the formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given:
- Length = 2 feet
- Width = \( \frac{1}{4} \) foot
- Height = \( 1 \frac{1}{5} \) feet
First, convert the height to an improper fraction: \[ 1 \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \text{ feet} \]
Now, substitute the values into the volume formula: \[ \text{Volume} = 2 \times \frac{1}{4} \times \frac{6}{5} \]
Calculating step by step:
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Multiply the length and width: \[ 2 \times \frac{1}{4} = \frac{2}{1} \times \frac{1}{4} = \frac{2 \cdot 1}{1 \cdot 4} = \frac{2}{4} = \frac{1}{2} \] feet²
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Now multiply by the height: \[ \frac{1}{2} \times \frac{6}{5} = \frac{1 \cdot 6}{2 \cdot 5} = \frac{6}{10} = \frac{3}{5} \] cubic feet
So, the volume of the box is \( \frac{3}{5} \) cubic feet.
Among the given options, the correct response is:
3 fifths cubic foot.